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Finding the Fourth Proportional to 5,097.07, 7,047.83 and 4,440.97

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Solution

The fourth proportional to 5,097.07, 7,047.83 and 4,440.97 is: 6,140.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.07 : 7,047.83 = 4,440.97 : x
  2. Step 2: Convert to fraction form
    5,097.07/7,047.83 = 4,440.97/x
  3. Step 3: Cross multiply
    5,097.07x = 7,047.83 × 4,440.97
  4. Step 4: Simplify right side
    5,097.07x = 31,299,144.15
  5. Step 5: Solve for x
    x = 31,299,144.15/5,097.07
  6. Step 6: Final answer
    x = 6,140.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.